MTBE, Methyl tert-butyl ether, $\mathrm{CH}_{3} \mathrm{OC}\left(\mathrm{CH}_{3}\right)_{3}$, is used as an oxygen source in oxygenated gasolines. MTBE is manufactured by reacting 2 -methylpropene with methanol.
(a) Using Lewis structures, write the chemical equation representing the reaction.
(b) What volume of methanol, density $0.7915 \mathrm{~g} / \mathrm{mL},$ is required to produce exactly $1000 \mathrm{~kg}$ of MTBE, assuming a $100 \%$ yield?